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math.NA2026
Fully discrete analysis of pressure-robust enriched Galerkin methods for the time-dependent Stokes equations
Seulip Lee, Lin Mu
This paper presents a fully discrete analysis of pressure-robust enriched Galerkin (EG) methods for the time-dependent Stokes equations. The spatial discretization employs a veloci…
math.NA2025
A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
SeongHee Jeong, Seulip Lee, Sijing Liu
We propose and analyze a monotone finite element method for an elliptic distributed optimal control problem constrained by a convection-diffusion-reaction equation in the convectio…
math.NA2025
A weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
SeongHee Jeong, Seulip Lee, Kening Wang
This paper presents a weak Galerkin (-WG) method combined with an additive Schwarz preconditioner for solving optimal control problems (OCPs) governed by partial differe…